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Finding the Fourth Proportional to 71.17, 106.77 and 35.08

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Solution

The fourth proportional to 71.17, 106.77 and 35.08 is: 52.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.17 : 106.77 = 35.08 : x
  2. Step 2: Convert to fraction form
    71.17/106.77 = 35.08/x
  3. Step 3: Cross multiply
    71.17x = 106.77 × 35.08
  4. Step 4: Simplify right side
    71.17x = 3,745.49
  5. Step 5: Solve for x
    x = 3,745.49/71.17
  6. Step 6: Final answer
    x = 52.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.